22312313130000 has 400 divisors, whose sum is σ = 77867232259520. Its totient is φ = 5484443904000.

The previous prime is 22312313129971. The next prime is 22312313130001. The reversal of 22312313130000 is 3131321322.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×22312313130000³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (22312313130001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20561022 + ... + 21618978.

Almost surely, 2^{22312313130000} is an apocalyptic number.

22312313130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22312313130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38933616129760).

22312313130000 is an abundant number, since it is smaller than the sum of its proper divisors (55554919129520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22312313130000 is a wasteful number, since it uses less digits than its factorization.

22312313130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058044 (or 1058023 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 22312313130000 its reverse (3131321322), we get a palindrome (22315444451322).

The spelling of 22312313130000 in words is "twenty-two trillion, three hundred twelve billion, three hundred thirteen million, one hundred thirty thousand".